anything that is sort of stringy, like I picture that, or palm wood, or something like that I would say use a wood hardener or stabilizer on it.
I have used a vacuum system - a Tilia food processer, put the wood in it, and then put some of the Minwax wood hardener in the bag with it, then hook it up. It draws the atmosphere out of the bag, and 'draws' the liquid into the wood inside the bag as it removes the air.
When I open the bag I pour the contents of the bag that does not soak into the wood into a container to be reused. I then allow the wood to 'cure'.
It worked well. Others may have an easier method.